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An insurance company has 3 lines of business The first one is completely independent. The 2 others are perfectly correlated. The 3 risks are normally

An insurance company has 3 lines of business

The first one is completely independent.

The 2 others are perfectly correlated.

The 3 risks are normally distributed with following parameters

Risk 1 : mean : 1000 standard deviation : 100

Risk 2 : mean : 2000 standard deviation : 50

Risk 3 : mean : 500 standard deviation : 75

Solvency requirement are computed following the VaR approach with a safety of 99%.

Compute for each risk and for the whole portfolio the solvency capital and the diversification effect.

answer

sum of capital : 524,25

global capital : 372,8

DP : 151,45

how to calculate

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